Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
62.5%	25%	12.5%	5
62.5%	12.5%	25%	6
65.6%	6.2%	28.2%	7
65.6%	3.1%	31.3%	8
66.4%	1.6%	32.1%	9
66.4%	0.8%	32.8%	10
66.6%	0.4%	33%	11
66.6%	0.2%	33.2%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (14.2%)

Results

1.1s	8256×	body	256	valid
1.0ms	13×	body	256	invalid

preprocess154.0ms (2%)

Algorithm

2×	egg-herbie

Rules

986×	`fma-neg_binary64`
733×	`fma-def_binary64`
474×	`distribute-rgt-neg-in_binary64`
422×	`cancel-sign-sub-inv_binary64`
375×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	133	11
4	226	11
5	389	11
6	768	11
7	1680	11
8	2596	11
9	3798	11
10	4712	11
11	5471	11
12	5702	11
13	6005	11
14	6826	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
733×	`fma-def_binary64`
474×	`distribute-rgt-neg-in_binary64`
422×	`cancel-sign-sub-inv_binary64`
375×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	133	11
4	226	11
5	389	11
6	768	11
7	1680	11
8	2596	11
9	3798	11
10	4712	11
11	5471	11
12	5702	11
13	6005	11
14	6826	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

eval1.0ms (0%)

Compiler: Compiled 20 to 14 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.1b	(.f64 (.f64 x x) x)
✓	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))

Compiler

Compiled 33 to 14 computations (57.6% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
1.0ms	x	@	0	(*.f64 238732414637843/250000000000000 x)
1.0ms	x	@	-inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
1.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
0.0ms	x	@	inf	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

rewrite217.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
403×	`fma-def_binary64`
358×	`prod-exp_binary64`
341×	`exp-prod_binary64`
274×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	204	26
2	2608	26

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

Inputs
(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 238732414637843/250000000000000 x)
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 3))) 2)) (cbrt.f64 (log.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x 3)))) (sqrt.f64 (log.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 3) 1/3))))))
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238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) x (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 x 238732414637843/250000000000000))))))

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
549×	`fabs-mul_binary64`
540×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	249
1	24	249
2	56	249
3	121	249
4	228	249
5	578	249
6	748	249
7	1071	249
8	2353	249
9	2454	249
10	2613	249
11	2820	249
12	3129	249
13	3557	249
14	4122	249
15	4802	249
16	5662	249
17	6326	249
18	6885	249
19	7443	249
20	7969	249

Stop Event

1×	node limit

Counts

308 → 279

Calls

Call 1

Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval259.0ms (3.4%)

Compiler: Compiled 5396 to 4117 computations (23.7% saved)

prune90.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	262	17	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	18	280

Error

0.0b

Counts

280 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
	48.4b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
	34.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
▶	34.5b	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
	34.5b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	1.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	1.2b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	34.3b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
	1.2b	(fma.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
▶	14.5b	(*.f64 x 238732414637843/250000000000000)
▶	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
	31.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)))
	24.1b	(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	0.3b	(fma.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (fma.f64 (neg.f64 x) (.f64 6450306886639899/50000000000000000 (.f64 x x)) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))

Compiler

Compiled 456 to 328 computations (28.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
✓	0.1b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
0.0ms	x	@	0	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
0.0ms	x	@	inf	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	1768	18

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 238732414637843/250000000000000) 1) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 3) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (-.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
473×	`fabs-mul_binary64`
451×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	21	201
2	41	201
3	87	201
4	153	201
5	378	201
6	1254	201
7	1962	201
8	2049	201
9	2182	201
10	2340	201
11	2581	201
12	2903	201
13	3326	201
14	3827	201
15	4429	201
16	5153	201
17	5474	201
18	5758	201
19	5984	201
20	6162	201
21	6242	201
22	7182	201

Stop Event

1×	node limit

Counts

56 → 37

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	inf	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	-inf	(*.f64 x 238732414637843/250000000000000)

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)) (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/125000000000000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) 1) (+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
✓	0.1b	(*.f64 -6450306886639899/50000000000000000 x)
	0.1b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 23 to 13 computations (43.5% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
1.0ms	x	@	inf	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
1.0ms	x	@	0	(*.f64 -6450306886639899/50000000000000000 x)
0.0ms	x	@	inf	(*.f64 -6450306886639899/50000000000000000 x)
0.0ms	x	@	-inf	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	162	17
2	1813	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 x)
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))))

simplify171.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
469×	`fabs-mul_binary64`
444×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	21	117
2	41	117
3	87	117
4	153	117
5	375	117
6	1244	117
7	1957	117
8	2044	117
9	2177	117
10	2335	117
11	2576	117
12	2898	117
13	3322	117
14	3825	117
15	4426	117
16	5148	117
17	5469	117
18	5751	117
19	5971	117
20	6151	117
21	6231	117
22	7171	117

Stop Event

1×	node limit

Counts

44 → 36

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x x) x)
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
✓	0.6b	(cbrt.f64 (*.f64 x 238732414637843/250000000000000))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)

Compiler

Compiled 47 to 26 computations (44.7% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
1.0ms	x	@	inf	(cbrt.f64 (*.f64 x 238732414637843/250000000000000))
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 x 238732414637843/250000000000000))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1398	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(cbrt.f64 (*.f64 x 238732414637843/250000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 238732414637843/250000000000000) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) (*.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 2) 3) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 x)) (cbrt.f64 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6)) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 238732414637843/250000000000000) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

✓

0.1b

(*.f64 238732414637843/250000000000000 (sqrt.f64 x))

0.1b

(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

Compiler

Compiled 31 to 20 computations (35.5% saved)

series6.0ms (0.1%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms	x	@	0	(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
1.0ms	x	@	-inf	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms	x	@	-inf	(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 238732414637843/250000000000000 (sqrt.f64 x))

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	211	19
2	2245	19

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 238732414637843/250000000000000 x)) (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 238732414637843/250000000000000 x)) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))))))))

simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	15	14
2	32	14
3	56	14
4	114	14
5	326	14
6	1180	14
7	1869	14
8	1956	14
9	2089	14
10	2247	14
11	2486	14
12	2808	14
13	3231	14
14	3733	14
15	4335	14
16	5057	14
17	5378	14
18	5664	14
19	5886	14
20	6064	14
21	6144	14
22	7084	14

Stop Event

1×	node limit

Counts

34 → 33

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

eval148.0ms (1.9%)

Compiler: Compiled 4173 to 3090 computations (26% saved)

prune156.0ms (2%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	277	10	287
Fresh	5	7	12
Picked	1	0	1
Done	1	4	5
Total	284	21	305

Error

0.0b

Counts

305 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
	48.4b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
▶	1.2b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
	29.9b	(fma.f64 (pow.f64 (sqrt.f64 (.f64 -6450306886639899/50000000000000000 x)) 2) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
▶	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
	1.0b	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 x)) (cbrt.f64 238732414637843/250000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	40.9b	(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
	15.5b	(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
✓	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
▶	1.3b	(-.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	34.5b	(-.f64 (.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
	34.3b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
▶	34.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
	1.0b	(-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 238732414637843/250000000000000) (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2))) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	14.5b	(*.f64 x 238732414637843/250000000000000)
✓	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	31.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)))
	1.2b	(-.f64 (.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
▶	59.5b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 498 to 363 computations (27.1% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

✓

0.1b

(*.f64 x -6450306886639899/50000000000000000)

✓

0.2b

(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	-inf	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	inf	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	inf	(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
1.0ms	x	@	-inf	(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

rewrite144.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	142	23
2	1594	23

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

(*.f64 x -6450306886639899/50000000000000000)

(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))

simplify270.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
530×	`fabs-mul_binary64`
414×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	252
1	34	252
2	61	252
3	125	252
4	358	252
5	1404	252
6	2777	252
7	2963	252
8	3213	252
9	3500	252
10	3879	252
11	4393	252
12	4996	252
13	5702	252
14	6173	252
15	6494	252
16	6762	252
17	6928	252
18	7018	252
19	7695	252

Stop Event

1×	node limit

Counts

81 → 57

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 x 238732414637843/250000000000000))
	0.1b	(*.f64 x 238732414637843/250000000000000)
✓	4.5b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
1.0ms	x	@	0	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
0.0ms	x	@	0	(+.f64 1 (*.f64 x 238732414637843/250000000000000))
0.0ms	x	@	inf	(+.f64 1 (*.f64 x 238732414637843/250000000000000))
0.0ms	x	@	-inf	(+.f64 1 (*.f64 x 238732414637843/250000000000000))

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	9
2	2109	9

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(+.f64 1 (*.f64 x 238732414637843/250000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 238732414637843/250000000000000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1)) (fma.f64 x 238732414637843/250000000000000 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1))) (-.f64 1 (fma.f64 x 238732414637843/250000000000000 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -238732414637843/250000000000000 x))) (/.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 1 (*.f64 -238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 238732414637843/250000000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 238732414637843/250000000000000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (*.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 x 238732414637843/250000000000000 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (/.f64 1 (+.f64 1 (*.f64 -238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 x 238732414637843/250000000000000 -1))) (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -238732414637843/250000000000000 x)) (-.f64 1 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 1 (*.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 x 238732414637843/250000000000000 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 1 (*.f64 -238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 1 (*.f64 -238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 x 238732414637843/250000000000000 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))) (neg.f64 (+.f64 1 (*.f64 -238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) 1) (fma.f64 x 238732414637843/250000000000000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1) (+.f64 1 (*.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 x 238732414637843/250000000000000 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) 1) (+.f64 1 (*.f64 -238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 238732414637843/250000000000000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 238732414637843/250000000000000 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)))))

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	120
1	10	102
2	12	102

Stop Event

1×

saturated

Counts

103 → 81

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
1
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 1 (*.f64 238732414637843/250000000000000 x))

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
1
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)

localize63.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x x) x)
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
✓	0.2b	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
✓	23.7b	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))

Compiler

Compiled 44 to 18 computations (59.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
1.0ms	x	@	0	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
1.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms	x	@	-inf	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)

rewrite123.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	124	11
2	1397	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))))

simplify205.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
582×	`associate-l_binary64`
565×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	18	132
2	29	132
3	58	132
4	138	132
5	442	132
6	1604	132
7	2497	132
8	2661	132
9	2874	132
10	3094	132
11	3397	132
12	3799	132
13	4292	132
14	4860	132
15	5550	132
16	6383	132
17	6773	132
18	7057	132
19	7333	132
20	7409	132
21	7443	132

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))

localize71.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000))
✓	0.6b	(cbrt.f64 x)
✓	0.8b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3)
✓	1.0b	(cbrt.f64 238732414637843/250000000000000)

Compiler

Compiled 51 to 27 computations (47.1% saved)

series19.0ms (0.3%)

Counts

4 → 0

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3)
4.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3)
3.0ms	x	@	0	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3)
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000))
1.0ms	x	@	-inf	(cbrt.f64 x)

rewrite160.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`pow1_binary64`
616×	`add-log-exp_binary64`
616×	`log1p-expm1-u_binary64`
616×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	169	16
2	1779	16

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(cbrt.f64 238732414637843/250000000000000)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 238732414637843/250000000000000)) (cbrt.f64 (cbrt.f64 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (cbrt.f64 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 238732414637843/250000000000000 1/6) (pow.f64 238732414637843/250000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 238732414637843/250000000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 238732414637843/250000000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 238732414637843/250000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 238732414637843/250000000000000) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 238732414637843/250000000000000) (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 238732414637843/250000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) (cbrt.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 238732414637843/250000000000000 x)) (sqrt.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 2) 3) (cbrt.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) (cbrt.f64 238732414637843/250000000000000)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) (cbrt.f64 x)) (cbrt.f64 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) 1) (cbrt.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 2)) (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2) (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)))) (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 238732414637843/250000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 238732414637843/250000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 238732414637843/250000000000000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x))))))))

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 x) 238732414637843/250000000000000)
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 56 to 26 computations (53.6% saved)

series19.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) 238732414637843/250000000000000)
5.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)

rewrite138.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	164	16
2	1735	16

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 x) 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) 238732414637843/250000000000000)))))))

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

52 → 41

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)

eval540.0ms (7%)

Compiler: Compiled 6394 to 4192 computations (34.4% saved)

prune61.0ms (0.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	9	3	12
Picked	1	0	1
Done	3	5	8
Total	430	13	443

Error

Counts

443 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
▶	8.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	3.6b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
▶	60.9b	(-.f64 1 1)
	34.3b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
	48.4b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
✓	14.5b	(*.f64 x 238732414637843/250000000000000)
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	29.9b	(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
✓	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
✓	59.5b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 228 to 167 computations (26.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.1b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms	x	@	inf	(.f64 x (.f64 x -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms	x	@	0	(.f64 x (.f64 x -6450306886639899/50000000000000000))

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	180	26
2	2320	26

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

(*.f64 x (*.f64 x -6450306886639899/50000000000000000))

(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 (*.f64 x 238732414637843/250000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000))) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000) x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 x 238732414637843/250000000000000))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) -56993165798814994692847692649/62500000000000000000000000000)) (neg.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2)) (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))))

simplify188.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
534×	`fabs-mul_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	288
1	32	288
2	61	288
3	134	288
4	336	288
5	1367	288
6	2740	288
7	2926	288
8	3177	288
9	3464	288
10	3843	288
11	4355	288
12	4958	288
13	5670	288
14	6139	288
15	6460	288
16	6732	288
17	6902	288
18	6994	288
19	7671	288

Stop Event

1×	node limit

Counts

104 → 77

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))

✓

0.2b

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))

✓

0.2b

(*.f64 6450306886639899/50000000000000000 (*.f64 x x))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	0	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	inf	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	-inf	(.f64 6450306886639899/50000000000000000 (.f64 x x))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	179	30
2	2232	30

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs

(*.f64 6450306886639899/50000000000000000 (*.f64 x x))

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))

(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 2))))) 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(*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (/.f64 1 (+.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))) (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 3)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 3))) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (neg.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 3)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))))))

simplify188.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
488×	`associate-l_binary64`
457×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	288
1	35	288
2	68	288
3	152	288
4	427	288
5	1623	288
6	3035	288
7	3221	288
8	3471	288
9	3758	288
10	4137	288
11	4653	288
12	5258	288
13	5968	288
14	6437	288
15	6754	288
16	7024	288
17	7190	288
18	7282	288
19	7959	288

Stop Event

1×	node limit

Counts

94 → 71

Calls

Call 1

Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) -6450306886639899/50000000000000000)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) -6450306886639899/50000000000000000)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.1b	(.f64 6450306886639899/50000000000000000 (pow.f64 (.f64 x x) 3/2))
✓	0.2b	(pow.f64 (*.f64 x x) 3/2)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series41.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(pow.f64 (*.f64 x x) 3/2)
7.0ms	x	@	inf	(pow.f64 (*.f64 x x) 3/2)
1.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (pow.f64 (.f64 x x) 3/2))
0.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (pow.f64 (.f64 x x) 3/2))
0.0ms	x	@	-inf	(pow.f64 (*.f64 x x) 3/2)

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`log-prod_binary64`
370×	`fma-def_binary64`
340×	`exp-prod_binary64`
337×	`prod-exp_binary64`
265×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	233	22
2	2893	22

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

Inputs

(pow.f64 (*.f64 x x) 3/2)

(*.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2))

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))

Outputs

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6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (*.f64 (sqrt.f64 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41606458931834106848498498730201/2500000000000000000000000000000000))) (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) x (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 x 238732414637843/250000000000000))))))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
814×	`fma-neg_binary64`
786×	`distribute-lft-neg-in_binary64`
779×	`distribute-rgt-neg-in_binary64`
374×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	257
1	31	257
2	89	257
3	185	257
4	346	257
5	888	257
6	1264	257
7	1971	257
8	4117	257
9	5976	257
10	7685	257

Stop Event

1×	node limit

Counts

270 → 247

Calls

Call 1

Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))
✓	0.1b	(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)

Compiler

Compiled 38 to 29 computations (23.7% saved)

series8.0ms (0.1%)

Counts

3 → 1

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
1.0ms	x	@	0	(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
1.0ms	x	@	-inf	(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
1.0ms	x	@	inf	(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	210	21
2	2041	21

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)

(*.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))

(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6450306886639899/50000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4)) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -6450306886639899/50000000000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -6450306886639899/50000000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 x)) (sqrt.f64 -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)

Outputs
(*.f64 238732414637843/250000000000000 x)

eval224.0ms (2.9%)

Compiler: Compiled 8259 to 6143 computations (25.6% saved)

prune213.0ms (2.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	507	2	509
Fresh	1	2	3
Picked	1	0	1
Done	0	9	9
Total	509	13	522

Error

Counts

522 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	8.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
	3.8b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)) 238732414637843/250000000000000)))
	48.4b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	3.6b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓	60.9b	(-.f64 1 1)
	34.3b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
✓	14.5b	(*.f64 x 238732414637843/250000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
✓	59.5b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 142 to 104 computations (26.8% saved)

regimes166.0ms (2.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (fma.f64 (neg.f64 x) (.f64 6450306886639899/50000000000000000 (.f64 x x)) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)))
(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 x)) (cbrt.f64 238732414637843/250000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 238732414637843/250000000000000) (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2))) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 -6450306886639899/50000000000000000 x)) 2) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
(-.f64 (.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)) 238732414637843/250000000000000)))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Calls

3 calls:

79.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

31.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 456 to 286 computations (37.3% saved)

regimes109.0ms (1.4%)

Counts

17 → 1

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)) 238732414637843/250000000000000)))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (*.f64 x x) 3/2)))
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))

Calls

3 calls:

56.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

23.0ms

19.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 183 to 120 computations (34.4% saved)

regimes136.0ms (1.8%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Calls

3 calls:

58.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

57.0ms

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))

14.0ms

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 119 to 80 computations (32.8% saved)

regimes35.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Calls

2 calls:

14.0ms	x
13.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 99 to 67 computations (32.3% saved)

regimes14.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes133.0ms (1.7%)

Accuracy

Total -59.6b remaining (-3530.6%)

Threshold costs -59.6b (-3530.6%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)

Outputs
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x 238732414637843/250000000000000)
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch76.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.2942125103405895	29994407.07579648
39.0ms	-48.99515795013406	-0.8676585674290122

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`distribute-lft-neg-in_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	101
1	46	101
2	56	101
3	66	101
4	75	101
5	80	101
6	82	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -430965966967153/8796093022208) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 5828614979308113/4503599627370496) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

Outputs
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(+.f64 (.f64 x 238732414637843/250000000000000) (.f64 -6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (+.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(if (<=.f64 x -430965966967153/8796093022208) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 5828614979308113/4503599627370496) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

Compiler

Compiled 77 to 52 computations (32.5% saved)

soundness0.0ms (0%)

end118.0ms (1.5%)

Compiler: Compiled 72 to 46 computations (36.1% saved)